Existence of positive solutions of nonlinear m-point BVP for an increasing homeomorphism and positive homomorphism on time scales

被引：12

作者：

Han, Wei ^{[1
]}

Jin, Zhen ^{[1
]}

Kang, Shugui ^{[2
]}

机构：

[1] N Univ China, Dept Math, Taiyuan 030051, Shanxi, Peoples R China

[2] Shanxi Datong Univ, Coll Math & Comp Sci, Datong 037009, Shanxi, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2009年 / 233卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Time scale; Positive solutions; Boundary value problem; Fixed point theorems; Increasing homeomorphism and positive homomorphism; BOUNDARY-VALUE-PROBLEMS; LAPLACIAN DYNAMIC EQUATIONS; P-LAPLACIAN;

D O I：

10.1016/j.cam.2009.07.009

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we will consider the following multipoint boundary value problem for the following second-order dynamic equations on time scales (phi(u(Delta)))(del) + a(t)f(t.u(t)) = 0, t is an element of (0, T). [GRAPHICS] where phi : R -> R is an increasing homeomorphism and positive homomorphism and phi(0) = 0. By using fixed point theorems, we obtain an existence theorem of positive solutions for the above boundary value problem, which includes and improve some related results in the relevant literature. As an application, an example to demonstrate our results is given. (C) 2009 Elsevier B.V. All rights reserved.

引用

页码：188 / 196

页数：9

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